The spectral order of accuracy: a new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes

DOI10.1016/j.jcp.2009.08.034zbMath1177.65122OpenAlexW2096484547MaRDI QIDQ1037751

Raphael Kastner, Bezalel Finkelstein

Publication date: 16 November 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.08.034

zbMATH Keywords

stabilitywave equationnumerical examplesMaxwell's equationsfinite difference time domainnumerical dispersionhigher order schemesdispersion relation preserving schemesnonstandard FDTD

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Maxwell equations (35Q61)

Related Items (8)

Time-space domain dispersion reduction schemes in the uniform norm for the 2D acoustic wave equation ⋮ Error-optimized finite-difference modeling of wave propagation problems with Lorentz material dispersion ⋮ Discrete exterior calculus approach for discretizing Maxwell's equations on face-centered cubic grids for FDTD ⋮ Optimal staggered-grid finite-difference schemes by combining Taylor-series expansion and sampling approximation for wave equation modeling ⋮ Optimization, resolution and application of composite compact finite difference templates ⋮ Uniform dispersion reduction schemes for the one dimensional wave equation in isotropic media ⋮ A highly efficient time-space-domain optimized method with Lax-Wendroff type time discretization for the scalar wave equation ⋮ An FDTD scheme on a face-centered-cubic (FCC) grid for the solution of the wave equation

Cites Work

• Unnamed Item
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• Finite difference time domain dispersion reduction schemes
• An explicit fourth-order staggered finite-difference time-domain method for Maxwell's equations
• On the construction of a high order difference scheme for complex domains in a Cartesian grid
• Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients
• The effect of the 2-D Laplacian operator approximation on the performance of finite-difference time-domain schemes for Maxwell's equations
• Difference schemes with best possible truncation error
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Reducing the phase error for finite-difference methods without increasing the order
• Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach
• Higher-order finite-difference schemes with reduced dispersion errors for accurate time-domain electromagnetic simulations
• High-Accuracy Finite-Difference Schemes for Linear Wave Propagation
• High-accuracy Yee algorithm based on nonstandard finite differences: new developments and verifications
• Comparison of the Dispersion Properties of Higher Order FDTD Schemes and Equivalent-Sized MRTD Schemes
• A Low-Dispersion 3-D Second-Order in Time Fourth-Order in Space FDTD Scheme (<tex>$ M3d_24 $</tex>)
• Suppression of numerical anisotropy and dispersion with optimized finite-difference time-domain methods
• A Comprehensive New Methodology for Formulating FDTD Schemes With Controlled Order of Accuracy and Dispersion

This page was built for publication: The spectral order of accuracy: a new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes